## Abstract This article revisits the topic of two‐state option pricing. It examines the models developed by Cox, Ross, and Rubinstein (1979), Rendleman and Bartter (1979), and Trigeorgis (1991) and presents two alternative binomial models based on the continuous‐time and discrete‐time geometric Br
A flexible binomial option pricing model
✍ Scribed by Tian, Yisong ?Sam?
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 829 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0270-7314
No coin nor oath required. For personal study only.
✦ Synopsis
This article develops a flexible binomial model with a "tilt" parameter that alters the shape and span of the binomial tree. A positive tilt parameter shifts the tree upward while a negative tilt parameter does exactly the opposite. This simple extension of the standard binomial model is shown to converge with any value of the tilt parameter. More importantly, the binomial tree can be recalibrated through the tilt parameter in order to position nodes relative to the strike price or barrier of an option. The rate of convergence is improved as a result.
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